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Finding the Third Proportional to 983,407 and 1,484,157

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Solution

The third proportional to 983,407 and 1,484,157 is: 2,239,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,407 : 1,484,157 = 1,484,157 : x
  2. Step 2: Convert to fraction form
    983,407/1,484,157 = 1,484,157/x
  3. Step 3: Cross multiply
    983,407x = 1,484,157 × 1,484,157
  4. Step 4: Simplify right side
    983,407x = 2,202,722,000,649
  5. Step 5: Solve for x
    x = 2,202,722,000,649/983,407
  6. Step 6: Final answer
    x = 2,239,888.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.